Match each expression to its expanded form.

 Match each expression to its expanded form.

Expression	Expanded form
$5^3$5, cubed $3^5$3, start superscript, 5, end superscript $3 \times 5$3, times, 5 $3 \times 3$3, times, 3	$5 \times 5 \times 5$5, times, 5, times, 5 $3 \times 3 \times 3 \times 3 \times 3$3, times, 3, times, 3, times, 3, times, 3 $5+5+5$5, plus, 5, plus, 5 $3+3+3$3, plus, 3, plus, 3

Hint #11 / 6

An $\blueE{\text{exponent}}$start color #0c7f99, start text, e, x, p, o, n, e, n, t, end text, end color #0c7f99 tells us how many factors of a $\maroonD{\text{base}}$start color #ca337c, start text, b, a, s, e, end text, end color #ca337c we should multiply to find the value of an expression.

We write exponential expressions like this: $\maroonD{\text{base}}^\blueE{\text{exponent}}$start color #ca337c, start text, b, a, s, e, end text, end color #ca337c, start superscript, start color #0c7f99, start text, e, x, p, o, n, e, n, t, end text, end color #0c7f99, end superscript

For example,

$\maroonD{6}^\blueE{2}=\maroonD{6} \times \maroonD{6}$start color #ca337c, 6, end color #ca337c, start superscript, start color #0c7f99, 2, end color #0c7f99, end superscript, equals, start color #ca337c, 6, end color #ca337c, times, start color #ca337c, 6, end color #ca337c

Multiplication represents repeated addition. For example, $6 \times 2$6, times, 2 represents $6$6 groups of $2$2 added together:

$6 \times 2 = 2+2+2+2+2+2$6, times, 2, equals, 2, plus, 2, plus, 2, plus, 2, plus, 2, plus, 2

Let's use these definitions to match each expression to its expanded form.

Hint #22 / 6

$5 \times 5 \times 5$5, times, 5, times, 5 has $3$3 factors of $5$5. So we can write an equivalent expression where the base is $5$5 and the exponent is $3$3:

$5^3=5 \times 5 \times 5$5, cubed, equals, 5, times, 5, times, 5

Hint #33 / 6

$3 \times 3 \times 3 \times 3 \times 3$3, times, 3, times, 3, times, 3, times, 3 has $5$5 factors of $3$3. So we can write an equivalent expression where the base is $3$3 and the exponent is $5$5:

$3^5=3 \times 3 \times 3 \times 3 \times 3$3, start superscript, 5, end superscript, equals, 3, times, 3, times, 3, times, 3, times, 3

Hint #44 / 6

$5+5+5$5, plus, 5, plus, 5 shows $3$3 groups of $5$5 added together. So we can write an equivalent expression using multiplication:

$3 \times 5=5+5+5$3, times, 5, equals, 5, plus, 5, plus, 5

Hint #55 / 6

$3+3+3$3, plus, 3, plus, 3 shows $3$3 groups of $3$3 added together. So we can write an equivalent expression using multiplication:

$3 \times 3=3+3+3$3, times, 3, equals, 3, plus, 3, plus, 3

Hint #66 / 6

The answer:

Exponent	Expression
$5^3$5, cubed	$5 \times 5 \times 5$5, times, 5, times, 5
$3^5$3, start superscript, 5, end superscript	$3 \times 3 \times 3 \times 3 \times 3$3, times, 3, times, 3, times, 3, times, 3
$3\times5$3, times, 5	$5+5+5$5, plus, 5, plus, 5
$3\times3$3, times, 3	$3+3+3$3, plus, 3, plus, 3